L~p-convergence Rate And Aymptotic Behavior Of Solutions To Nonisentropic P-system With Damp

In this paper,considering the damping of the nonisentropic p-systems asymp-totic behavior of the solution of the cauchy problem and convergence rate. First of all, by choosing the corresponding parabolic equation of a special set of ini-tial values ,gives the damping of the nonisentropic p-systems of the solution of the cauchy problem of a new asymptotic state.First we study the corresponding so-lutions of parabolic equations of L~p(1?p? ?) convergence rate,on this ba-sis, We got the damping of the nonisentropic p-systems of solution of cauchy prob-lem LP(1?p? ?),the results generalize the Geng and Wang the convergence rate of the results.The paper is organized as follows:In Chapter One,we introduce the research background of p-systems,outline the content of the arrangement and prepare knowledge;In Chapter Two,we introduce the nonisentropic p-systems of new asymptotic state and the main conclusions of this paper;In Chapter Three, we introduce the main proof of theorem.we firstly prove the LP convergence rate of the equilibrium equations, using the solution of the new asymptotic state to get the of nonisentropic p-system's LP convergence rate.